Generalized Integration Operators from Mixed-Norm to Zygmund-Type Spaces

被引：5

作者：

Guo, Jian ^{[1
]}

Liu, Yongmin ^{[2
]}

机构：

[1] Jiangsu Bldg Vocat & Tech Coll, Xuzhou 221116, Peoples R China

[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 03期

关键词：

Boundedness; Compactness; Generalized integration operators; Mixed-norm space; Zygmund-type space; BLOCH-TYPE SPACES; BERGMAN-TYPE SPACES; UNIT BALL; H-INFINITY; ANALYTIC-FUNCTIONS; HARDY-SPACES; S) SPACES; PRODUCTS; DIFFERENTIATION; POLYDISK;

D O I：

10.1007/s40840-015-0204-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi be an analytic self-map of the unit disk D, H(D) the space of analytic functions on D, and g is an element of H( D). The boundedness and compactness of the generalized integration operator I-q,phi((n)) f (z) = integral(Z)(0) f(n) (phi(xi)g(xi)d xi, z is an element of D, from mixed-norm space to the Zygmund-type space, and the little Zygmund-type space are investigated in this article.

引用

页码：1043 / 1057

页数：15

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